Write a rule for the nth term of the geometric sequence:
a3=54, a6=1458

Answers

Answer 1

Answer:

tn = -1350 + 468n  

Step-by-step explanation:

First, we need to find the difference.

1458 - 54 / 6 - 3

= 468

Now we need to find the first term.

t3 = t1 + (n - 1) (d)

54 = t1 + (3 - 1)(468)

54 = t1 + (2)(468)

54 = t1 + 936

-882 = t1

The rule is:

tn = -882 + (n-1) (468)

tn = -882 + 468n - 468

tn = -1350 + 468n  


Related Questions

What is the volume, in cubic in, of a rectangular prism with a height of 16in, a width
of 10in, and a length of 17in?

Answers

Answer:

45 inches

Step-by-step explanation:

got it right on edg

Answer:

2720

Step-by-step explanation:

PLEASE HELP ME!!!! I WILL MARK!!!

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Answer:

6(x - 3 ) = 6x - 18

2(3x - 3) = 6x - 6

Step-by-step explanation:

HELP ASAP PLEASE ILL MARK BRAINLIEST

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Answer:120
Explain ,

Question 10 of 10
What is the value of y?
10"
50
A. 30°
B. 40°
C. 50°
D. 60°

Answers

Answer:

i think ik it the aswer is c

Mrs. Smith washed 2 5 of her laundry. Her son washed 1 3 of it. Who washed most of the laundry? How much of the laundry still needs to be washed?

Answers

Answer:

a) The person who washed the most of the laundry is Mrs Smith

b) 4/15 of the laundry is left to wash

Step-by-step explanation:

Mrs. Smith washed 2/5 of her laundry. Her son washed 1/3 of it.

a) Who washed most of the laundry?

We convert the fraction of laundry each person washed to decimal

Mrs Smith = 2/5 = 0.4

Her son = 1/3 = 0.333

Therefore, the person who washed the most of the laundry is Mrs Smith

b) How much of the laundry still needs to be washed?

Let us total laundry = 1

=1 - ( 2/5 + 1/3)

Lowest Common Denominator is 15

=1- (3 × 2 + 5 × 1/15)

= 1 - (6 +5/15)

=1 - 11/15

= 4/15

Find m Round to the nearest degree.
B
7
с
9
13

Answers

Give me a min I will answer it later

I need some help with this, just like Rocky, ASAP!

Answers

Answer:

12 possible roots

Step-by-step explanation:

we can use the rational zeros theorem which says that in order to find the possible roots for a polynomial we need to divide the factors of the constant by the factors of the coefficient of the leading term

which in this case is:

±(1, 2, 3, 4, 6, 12)/(1)

±1, 2, 3, 4, 6, 12

so we have 12 possible roots

Please help!
I don't understand, so if you can explain, that would be amazing. If you just give me an answer, that's ok too!

Answers

Answer:

3 units

Step-by-step explanation:

-1, 0, 1 ,2

( 1, 2 ,3)

Give the other person Brainliest :)

help plsss. marking brainliest

Answers

Answer:

1. 3

2. 1

Step-by-step explanation:

Answer:

1.3. now mark brainlieet plsssssssssss like you said you would

can somebody help me first answer gets brainiest pls help

Answers

Answer: I believe the answer is 216 Square units.

Explanation:
1. Cut the shape in half. Now you have a square and a triangular shape.

2. The square is 12 inches on all four sides. 12 • 12 = 144. 144 is the area for the square.

3. Now, the triangular shape. The bottom of the shape is 12 because we divided the total 24 in half with the square. The left side (the longer side) of the shape is also 12 because it is parallel to the square with 12 as the same measurement. The right side (the shorter side) of the shape is 6 because it's half the size of the square’s length. The length of the top of the shape is also 12 because it is half of the square’s width of 24.

4. Now that we have found the measurements of the triangular shape, we can multiply (length • width) and add. The square is 144 units (12•12=144) and the triangular shape is 72 (12•6=72). 144 + 72= 216.

I hope this helps! :)

Please help! I know its a lot and I'm sorry but I REALLY NEED HELP!!! I just don't understand this and I don't want to fail my brain just is not smart with math. Even if you answer just ONE question it would mean the WORLD TO ME thanks!

Answers

Answer:16

Step-by-step explanation:

A cylinder has a base diameter of 20 inches and a height of 11 inches. What is its
volume in cubic inches, to the nearest tenths place?

Answers

Step-by-step explanation:

Volume=base area * height

=πr^2h

22/7 * 10^2 *11

=3457.1cm3

Answer:

The volume of a cylinder with a diameter of 10 inches and height of 20 inches is 1,570.8 cubic inches.

Neutering dogs is a common surgical practice. The mean time to recover from the general anesthetic used is 26 hours. A veterinarian believes that since changing to a new anesthetic, the mean recovery time is shorter than before. From a random sample of 40 surgeries with the new anesthetic, she finds the mean recovery time was 25 hours with a standard deviation of 2.5 hours. What is the p-value for her hypothesis test

Answers

Answer:

0.005719

Step-by-step explanation:

H0 : μ = 26

H1 : μ < 26

Given that:

Population mean, μ = 26

Sample mean, xbar = 25

Sample standard deviation, s = 2.5

Sample size, n = 40

The test statistic :

(xbar - μ) / s/sqrt(n)

Test statistic :

(25 - 26) / 2.5/sqrt(40)

-1 / 0.3952847

Test statistic = - 2.5298

Using a Pvalue calculator from Z test statistic:

Pvalue = 0.005719

You estimate that a lamb weighs 10 pounds. The actual weight of the lamb is 13 pounds. Find the percent error. Round your answer to the nearest hundredth of a percent.

%

Answers

That’s your answer>>> 30%

Carly loves to run while Riley prefers walking. Carly can run 3 miles per hour faster
than her sister Riley can walk the same distance. If Carly ran 15 miles in the same time
it took Riley to walk 9 miles, which equation can be used to find the speed of each
sister?

Answers

Answer:

Step-by-step explanation:

What is the equation of the line that passes through the point (7,-6) and has a slope of -2?

Answers

Answer:

y=-2+8

Step-by-step explanation:

The answer is y=-2+8 because of course the slope has to be -2 as you stated in your Question. So all you have to do is change the Y-Intercept until you reach the point. Since the Slope is negative, the Y-Intercept will rise until you reach your point. You may double check my answer to see if it is right, it is up to you. If you find any fault in my answer please let me know. Have a good day!

use the image to answer the question.
A landscaper is building a triangular garden behind a house. The lot is bounded on one side by the house
that is 30 ft. long and on another side by a fence that is 50 ft. long. If the fence makes a 25° angle with the
house, how long is the third side of the garden? Round your answer to the nearest foot.

a. 26 ft.
b. 46 ft.
c. 69 ft.
d. 78 ft.

Answers

Answer: 26ft

Step-by-step explanation:

is 5 meters bigger or 1,300 centameters

Answers

Answer:

1,300 centameters

Answer: 1,300 centimeter meters is bigger

Step-by-step explanation:

1
Find the length s of the arc of a circle of radius 9 feet subtended by the central angle
3
radian
s (arc length) =
feet

Answers

Answer:

27.0 feet

Step-by-step explanation:

Length of an arc (s) = 2πrθ/360................. Equation 1

Where r = radius of the circle, θ  = angle in degree substends by the arc at the center of the circle.

From the question,

Given: r = 9 feet, θ = 3 radian = 3 (57.2950) = 171.89°

Constant: π = 3.14

Substitute these values into equation 1

s = 2(3.14)(9)(171.89)/360

s = 9715.2228/360

s = 26.99 feet

s ≈ 27.0 feet

What is your dream career and why ?

Answers

Answer:

Step-by-step explanation:

Professional dancers cause I’ve danced since I was 3 and I’ve always wanted to do it. And I wanna model on the side

Answer:

Detective/Forensics scientist

Step-by-step explanation:

I want to be a detective/ forensic scientist because I am interested in science and investigating.

The circle radius is 12 cm. Then the circle content is
PLEASE HEEEELP

Answers

r=12cm

circumference=2×pi×r

=2×3.14×12

=75.36cm

area = pi×r^2

=3.14×12×12

=3.14×144

=452.16cm^2

The balanced scale represents the equation: 3x + 1 = x + 3

If one x block is subtracted from the right side and three numbered blocks are subtracted from the left side. What process will

balance the scale?


subtract one x block from the left side and subtract three numbered blocks

from the left side


subtract one x block from the left side and subtract three numbered blocks

from the right side


subtract one x block from the right side and subtract'three numbered

blocks from the left side


subtract one x block from the right side and subtract three numbered

blocks from the right side

Answers

Answer:

1 block is required in the process to balance the scale

Step-by-step explanation:

In order to get the process that will balance the scale, we need to solve the given expression for x as shown;

3x + 1 = x+ 3

Subtract x from both sides

3x+1-x = x+3 - x

3x - x + 1 = 3

2x + 1 = 3

Subtract 1 from both sides

2x + 1 - 1 = 3 -1

2x = 2

Divide both sides by 2

2x/2 = 2/2

x = 1

Hence 1 block is required in the process to balance the scale

Write the word sentence as an equation. Then solve the equation.

9 is the difference of a number n and 7.

An equation that represents this word sentence is

Answers

Answer: 9=n-7

Step-by-step explanation:

There are some hens and some sheeps are in a farm,total number of animals are 10 and total number of their legs are 32 1.Find number of hens? 2. Find number of sheeps?

Answers

Answer: The number of hens are 4 and number of sheeps are 6

Step-by-step explanation:

Given : Total animals = 10

Total number of legs = 32

Let number of hens = h  and number of sheep = s

Thus h+s = 10    (1)

Now each hen has two legs and each sheep has 4 legs :[tex]2\times h+4\times s=32[/tex]   (2)

Solving for h and s we get:

s = 6 , h =4

Thus number of hens are 4 and number of sheeps are 6

The change in water level of a lake is modeled by a polynomial function, W(x). Describe how to find the x-intercepts of W(x) and how to construct a rough graph of W(x) so that the Parks Department can predict when there will be no change in the water level. You may create a sample polynomial of degree 3 or higher to use in your explanations.
(Dividing and Solving Polynomials)

Answers

First. Finding the x-intercepts of  

Let  be the change in water level. So to find the x-intercepts of this function we can use The Rational Zero Test that states:

To find the zeros of the polynomial:

We use the Trial-and-Error Method which states that a factor of the constant term:

can be a zero of a polynomial (the x-intercepts).

So let's use an example: Suppose you have the following polynomial:

where the constant term is . The possible zeros are the factors of this term, that is:

.

Thus:

From the foregoing, we can affirm that  are zeros of the polynomial.

Second. Construction a rough graph of  

Given that this is a polynomial, then the function is continuous. To graph it we set the roots on the coordinate system. We take the interval:

and compute  where  is a real number between -2 and -1. If , the curve start rising, if not, the curve start falling. For instance:

Therefore the curve start falling and it goes up and down until  and from this point it rises without a bound as shown in the figure below

can someone answer this pls

Answers

Answer:

5.9

Step-by-step explanation:

Answer:

I think it is 62.

Step-by-step explanation:

Hope this helps!

Kendall bought a vase that was priced at $450. In addition, he had to pay 9% sales tax. How much did he pay for the vase?

Answers

Answer:

$436

Step-by-step explanation:

Please help divide 5 652 to the ratio 2:3:5 I will give brainliesters
thank you in advance​

Answers

Answer:

105

Step-by-step explanation:

(-20+5)(58-65)

(-15)(-7)

105

Can you please help me

Answers

Answer:

7. 7.1+5.4+2.9=15.7

10.3+5.4=15.7

8. 373.4 - 152.9 = 220.5

373.4 - 153 = 220.4

220.4 - 0.1 = 220.5

9. 18.25 + 7.99 + 4.75 = 30.99

10. 1.05 + 3 + 4.28 + .95 = 9.28

11. 302.504

12 50.5

331 student went on a field trip. Six bises were filled and 7 students traveled in cars. How many students were in each bus?

Answers

Answer:

54 students

Step-by-step explanation:

if 7 of 331 students did not go on buses then 331 - 7 = 324 went on buses.

324 divided by 6 = 54 students

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